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Simplifying 5(9x + -9) + -4(11x + -11) = 5 Reorder the terms: 5(-9 + 9x) + -4(11x + -11) = 5 (-9 * 5 + 9x * 5) + -4(11x + -11) = 5 (-45 + 45x) + -4(11x + -11) = 5 Reorder the terms: -45 + 45x + -4(-11 + 11x) = 5 -45 + 45x + (-11 * -4 + 11x * -4) = 5 -45 + 45x + (44 + -44x) = 5 Reorder the terms: -45 + 44 + 45x + -44x = 5 Combine like terms: -45 + 44 = -1 -1 + 45x + -44x = 5 Combine like terms: 45x + -44x = 1x -1 + 1x = 5 Solving -1 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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